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Finding the Third Proportional to 695,564,253.75 and 1,500,087,432.75

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Solution

The third proportional to 695,564,253.75 and 1,500,087,432.75 is: 3,235,160,941.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    695,564,253.75 : 1,500,087,432.75 = 1,500,087,432.75 : x
  2. Step 2: Convert to fraction form
    695,564,253.75/1,500,087,432.75 = 1,500,087,432.75/x
  3. Step 3: Cross multiply
    695,564,253.75x = 1,500,087,432.75 × 1,500,087,432.75
  4. Step 4: Simplify right side
    695,564,253.75x = 2,250,262,305,894,485,760
  5. Step 5: Solve for x
    x = 2,250,262,305,894,485,760/695,564,253.75
  6. Step 6: Final answer
    x = 3,235,160,941.30

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.